Alpha age = xBeta age =4x-1
The simplified expression for perimeter is 6w, and for area is 2w². 3 meters of a width will allow the most area while not exceeding a perimeter of 20 meters.
Step-by-step explanation:
Let w represent the width of the poster then,
The length of the poster is twice as long as its width, to mean the length is 2w
Perimeter is the distance around the figure. Your figure is a rectangle with sides width, w and length 2w;
Perimeter formula is = 2(l+w) where l is length and w is with
P=2(2w+w) = 2(3w) = 6w meters
Area is given by the product of length and width of the figure
Area=l*w
A=2w*w= 2w²
The table will be;
<u>Width in (m) Perimeter=6w in (m) Area (2w²) in m²</u>
3 6*3= 18 2*3²=2*9=18
4 6*4=24 2*4²=2*16=32
Width 3 allows for the most area while not exceeding a perimeter of 20 meters.
Learn More
Area of a rectangle figure : brainly.com/question/9624810
Keywords : rectangular poster, perimeter, area, expression
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8 (y - 7) = - 16
Divide by 8 on both sides
y - 7 = - 2
Add 7 to both sides
y = 5
Answer:
The total number of ways the person holding ticket 47 wins one of the prizes = 941,094
Step-by-step explanation:
Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).
To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Proof -
The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question
Now,
As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen
So,
The number of ways = 1* ⁹⁹P₃
= 
= 
= 
= 99*98*97
= 941,094
∴ we get
Total number of ways the person holding ticket 47 wins one of the prizes = 941,094
1. The counterclockwise rotation by 90° about the origin has rule:
(x,y)→(-y,x).
Then
(-3,-1)→(1,-3).
2. Translation 4 units up has rule:
(x,y)→(x,y+4).
Then
(1,-3)→(1,1).
Answer: after composition of transformations the image point has coordinates (1,1).
